normal form game

(game theory) Formally, a structure (P,S,F){\displaystyle (P,\mathbf {S} ,\mathbf {F} )} where P = {1,2, ...,m} is a set of players, S=(S1,S2,…,Sm){\displaystyle \mathbf {S} =(S_{1},S_{2},\ldots ,S_{m})} is an m-tuple of pure strategy sets, one for each player, and F=(F1,F2,…,Fm){\displaystyle \mathbf {F} =(F_{1},F_{2},\ldots ,F_{m})} is an m-tuple of payoff functions.